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Finding the Fourth Proportional to 11,705.88, 16,162.58 and 7,235.76

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Solution

The fourth proportional to 11,705.88, 16,162.58 and 7,235.76 is: 9,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.88 : 16,162.58 = 7,235.76 : x
  2. Step 2: Convert to fraction form
    11,705.88/16,162.58 = 7,235.76/x
  3. Step 3: Cross multiply
    11,705.88x = 16,162.58 × 7,235.76
  4. Step 4: Simplify right side
    11,705.88x = 116,948,513.68
  5. Step 5: Solve for x
    x = 116,948,513.68/11,705.88
  6. Step 6: Final answer
    x = 9,990.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.